Bayesian Statistics for Beginners: A Step-by-step Approach

Front Cover
Oxford University Press, 2019 - Mathematics - 419 pages
Bayesian statistics is currently undergoing something of a renaissance. At its heart is a method of statistical inference in which Bayes' theorem is used to update the probability for a hypothesis as more evidence or information becomes available. It is an approach that is ideally suited to making initial assessments based on incomplete or imperfect information; as that information is gathered and disseminated, the Bayesian approach corrects or replaces the assumptions and alters its decision-making accordingly to generate a new set of probabilities. As new data/evidence becomes available the probability for a particular hypothesis can therefore be steadily refined and revised. It is very well-suited to the scientific method in general and is widely used across the social, biological, medical, and physical sciences. Key to this book's novel and informal perspective is its unique pedagogy, a question and answer approach that utilizes accessible language, humor, plentiful illustrations, and frequent reference to on-line resources.

Bayesian Statistics for Beginners is an introductory textbook suitable for senior undergraduate and graduate students, professional researchers, and practitioners seeking to improve their understanding of the Bayesian statistical techniques they routinely use for data analysis in the life and medical sciences, psychology, public health, business, and other fields.

 

Contents

SECTION 2 Bayes Theorem and Bayesian Inference
27
SECTION 3 Probability Functions
85
SECTION 4 Bayesian Conjugates
131
SECTION 5 Markov Chain Monte Carlo
191
SECTION 6 Applications
267
APPENDIX 1 The BetaBinomial Conjugate Solution
369
APPENDIX 2 The GammaPoisson Conjugate Solution
373
APPENDIX 3 The NormalNormal Conjugate Solution
379
APPENDIX 4 Conjugate Solutions for Simple Linear Regression
385
APPENDIX 5 The Standardization of Regression Data
395
Bibliography
399
Hyperlinks Accessed August 2017
403
Name Index
413
Subject Index
414
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